Can someone explain the coastal paradox and infinite shoreline theory?

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How can a finite area like Great Britain have an infinite length edge?

In: Mathematics

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Anonymous 0 Comments

The more detailed a map of a shoreline is, the more intricacies of said shoreline are visible, and the longer it is when measured.

The paradox says that since the shoreline gets longer the more detailed your measurement is, then an infinitely detailed measurement would mean an infinitely long shoreline.

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